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Finding the Fourth Proportional to 605.00, 834.91 and 428.27

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Solution

The fourth proportional to 605.00, 834.91 and 428.27 is: 591.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.00 : 834.91 = 428.27 : x
  2. Step 2: Convert to fraction form
    605.00/834.91 = 428.27/x
  3. Step 3: Cross multiply
    605.00x = 834.91 × 428.27
  4. Step 4: Simplify right side
    605.00x = 357,566.91
  5. Step 5: Solve for x
    x = 357,566.91/605.00
  6. Step 6: Final answer
    x = 591.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.